With the increasing requirements of the civil aircraft market for large passenger aircraft, the importance of high lift devices has become increasingly prominent. The high lift device can effectively improve the lift-drag performance of the aircraft during takeoff and landing. Traditional high lift devices mainly include leading edge sag, leading edge slats, trailing edge flaps, etc. The shape of lift device is complex and difficult to design. During the design process, it is not only necessary to consider the interaction between multiple lift devices, but also how to realize the design of the lift device without destroying the aerodynamic shape of the clean configuration. Moreover, the shape accuracy of lift device has a great influence on the aerodynamic performance, so it is necessary to study the aerodynamic shape parametric design method. An effective parametric design method for the aerodynamic configuration of the lifting device can greatly improve design efficiency and reduce R&D costs. Based on the plasticity and controllability of the NURBS curve, this paper proposes a parametric design method for multi-segment wing cutting curve, and realizes the forming design of a variety of clean configuration lift devices, which verifies the feasibility and versatility of the method.